The Number of Rooted Essential Maps on Surfaces

The Number of Rooted Essential Maps on Surfaces

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摘要 In this paper, general functional equations of rooted essential maps on surfaces （orientable and nonorientable） are deduced and their formal solutions are presented. Further, three explicit for- mulae for counting essential maps on S2,N3 andN4 are given. In the same time, some known results can be derived. In this paper, general functional equations of rooted essential maps on surfaces （orientable and nonorientable） are deduced and their formal solutions are presented. Further, three explicit for- mulae for counting essential maps on S2,N3 andN4 are given. In the same time, some known results can be derived.

作者 Wen Zhong LIU Yan Pei LIU

机构地区 Department of Mathematics Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第8期1303-1312,共10页 数学学报（英文版）

基金 NNSFC under Grant 603730308 and 10571013

关键词 essential map enufunction Euler formula Langrangian inversion essential map, enufunction, Euler formula, Langrangian inversion

分类号 O177 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2008年第8期

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The Number of Rooted Essential Maps on Surfaces

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